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Finding the Fourth Proportional to 6,106.33, 8,426.68 and 3,453.72

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Solution

The fourth proportional to 6,106.33, 8,426.68 and 3,453.72 is: 4,766.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,106.33 : 8,426.68 = 3,453.72 : x
  2. Step 2: Convert to fraction form
    6,106.33/8,426.68 = 3,453.72/x
  3. Step 3: Cross multiply
    6,106.33x = 8,426.68 × 3,453.72
  4. Step 4: Simplify right side
    6,106.33x = 29,103,393.25
  5. Step 5: Solve for x
    x = 29,103,393.25/6,106.33
  6. Step 6: Final answer
    x = 4,766.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.